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Finding the Fourth Proportional to 1,010.14, 1,515.72 and 462.25

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Solution

The fourth proportional to 1,010.14, 1,515.72 and 462.25 is: 693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.14 : 1,515.72 = 462.25 : x
  2. Step 2: Convert to fraction form
    1,010.14/1,515.72 = 462.25/x
  3. Step 3: Cross multiply
    1,010.14x = 1,515.72 × 462.25
  4. Step 4: Simplify right side
    1,010.14x = 700,641.57
  5. Step 5: Solve for x
    x = 700,641.57/1,010.14
  6. Step 6: Final answer
    x = 693.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.